Refer to the following information: Predictor Coef SE Coef Constant -162 70 X 1
ID: 3309538 • Letter: R
Question
Refer to the following information: Predictor Coef SE Coef Constant -162 70 X1 1,800 300 X2 -20 30 X3 4 7 X4 -300 100 X5 0.60 0.16 Source df SS MS F Regression 5 1,700.00 Error 27 Total 32 2,200.00 a. What is the regression equation? (Round the final answers to 2 decimal places. Negative answer should be indicated by a minus sign.) Y = + X1 + X2 + X3 + X4 + X5 b. If X1 = 4, X2 = 6, X3 = 8, X4 = 6, and X5 = 8, what is the value of the dependent variable? (Round the final answer to 2 decimal places.) Y = c-1. How large is the sample? Sample size c-2. How many independent variables are there? Quantity of independent variables d. Complete the ANOVA table. (Round the final answers to 2 decimal places.) SOURCE DF SS MS F Regression 5 1,700.00 Error 15 Total 20 2,200.00 e-1. Conduct a global test of hypothesis, using the 0.05 significance level. (Round the final answers to 2 decimal places.) H0: 1 = 2 = 3 = 4 = 5 = 0 H1: Not all 's are 0 Reject H0 if F > . The value of the test statistic is . e-2. Can you conclude that any of the regression coefficients are different from zero? (Click to select)Do not reject//Reject H0. (Click to select)Not all//All regression coefficients equal zero. f-1. Conduct a test of hypothesis on each of the regression coefficients. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.) For X1 For X2 For X3 For X4 For X5 H0: 1 = 0 H0: 2 = 0 H0: 3 = 0 H0: 4 = 0 H0: 5 = 0 H1: 1 0 H1: 2 0 H1: 3 0 H1: 4 0 H1: 5 0 Reject H0 if t > or t < . f-2. Compute the values of the test statistic. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.) t = t = t = t = t = f-3. Could you delete any of the variables? (Click to select)Delete//Keep variable 1 (Click to select)Delete//Keep variable 2 (Click to select)Delete//Keep variable 3 (Click to select)Keep//Delete variable 4 (Click to select)Keep//Delete variable 5 Refer to the following information:Explanation / Answer
Result:
What is the regression equation? (Round the final answers to 2 decimal places. Negative answer should be indicated by a minus sign.)
Y = + X1 + X2 + X3 + X4 + X5
Y = -162+1800x1-20x2+4x3-300x4+0.60x5
b.
If X1 = 4, X2 = 6, X3 = 8, X4 = 6, and X5 = 8, what is the value of the dependent variable? (Round the final answer to 2 decimal places.)
Y = -162+1800*4-20*6+4*8-300*6+0.60*8
=5154.8
c-1.
How large is the sample?
Sample size: 33
c-2.
How many independent variables are there?
Quantity of independent variables: 5
d.
Complete the ANOVA table. (Round the final answers to 2 decimal places.)
Source
df
SS
MS
F
Regression
5
1700
340
1.84
Error
27
5000
185.185
Total
32
2200
e-1.
Conduct a global test of hypothesis, using the 0.05 significance level. (Round the final answers to 2 decimal places.)
H0: 1 = 2 = 3 = 4 = 5 = 0
H1: Not all 's are 0
Reject H0 if F > 2.57 .
The value of the test statistic is 1.84.
e-2.
Can you conclude that any of the regression coefficients are different from zero?
(Click to select)Do not reject All regression coefficients equal zero.
Predictor
Coef
SE Coef
t
Constant
-162
70
-0.432
X1
1,800
300
0.167
X2
-20
30
-1.500
X3
4
7
1.750
X4
-300
100
-0.333
X5
0.6
0.16
0.267
f-1.
Conduct a test of hypothesis on each of the regression coefficients. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.)
For X1
For X2
For X3
For X4
For X5
H0: 1 = 0
H0: 2 = 0
H0: 3 = 0
H0: 4 = 0
H0: 5 = 0
H1: 1 0
H1: 2 0
H1: 3 0
H1: 4 0
H1: 5 0
Reject H0 if t >2.052 or t < -2.052.
f-2.
Compute the values of the test statistic. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.)
t = 0.167
t = -1.500
t = 1.750
t = -0.333
t = 0.267
f-3.
Could you delete any of the variables?
(Click to select)Delete// variable 1
(Click to select)Delete// variable 2
(Click to select)Delete//variable 3
(Click to select)/Delete variable 4
(Click to select)//Delete variable 5
What is the regression equation? (Round the final answers to 2 decimal places. Negative answer should be indicated by a minus sign.)
Y = + X1 + X2 + X3 + X4 + X5
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